Question

translate the sentence into an equation or formula. the interior angle sum s of a convex polygon is equal to 180 times the difference between the number of sides of the polygon n and two.

Explanation:

Step1: Identify the components

The interior angle sum is \( S \), the number of sides is \( n \). The difference between \( n \) and 2 is \( n - 2 \).

Step2: Translate the relationship

"180 times the difference between \( n \) and 2" is \( 180\times(n - 2) \), and this is equal to \( S \). So the equation is \( S = 180(n - 2) \).

Answer:

\( S = 180(n - 2) \)